12 citations · 22 across the 6 of their papers we have counts for
7 papers
Trivial Iwasawa modules and arithmetic linking numbers
Yasushi Mizusawa, Keiji Okano
We give a computable criterion of the triviality of the unramified Iwasawa module over the maximal multiple -extension of a number filed in which an odd prime number $…
On the Burde--de Rham theorem for finitely presented pro- groups
Yasushi Mizusawa, Ryoto Tange, Yuji Terashima
We consider the Burde--de Rham theorem for finitely presented pro- groups under the assumption that the total degrees of all relators are . We also give some concrete example…
On -class groups of relative cyclic -extensions
Yasushi Mizusawa, Kota Yamamoto
We prove a general stability theorem for -class groups of number fields along relative cyclic extensions of degree , which is a generalization of a finite-extension version…
On pro- link groups of number fields
Yasushi Mizusawa
As an analogue of a link group, we consider the Galois group of the maximal pro--extension of a number field with restricted ramification which is cyclotomically ramified at …
On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field
Fumiya Amano, Yasushi Mizusawa, Masanori Morishita
We introduce mod 3 triple Milnor invariants and triple cubic residue symbols for certain primes of the Eisenstein number field , following the analogies betw…
On the Iwasawa invariants of a link in the 3-sphere
Teruhisa Kadokami, Yasushi Mizusawa
Based on the analogy between knots and primes, J. Hillman, D. Matei and M. Morishita defined the Iwasawa invariants for sequences of cyclic covers of links with an analogue of Iwas…
On the Z_p-ranks of tamely ramified Iwasawa modules
Tsuyoshi Itoh, Yasushi Mizusawa, Manabu Ozaki
For a prime number p, we denote by K the cyclotomic Z_p-extension of a number field k. For a finite set S of prime numbers, we consider the S-ramified Iwasawa module which is the G…